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Finding the Fourth Proportional to 4,264.57, 6,397.64 and 1,924.66

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Solution

The fourth proportional to 4,264.57, 6,397.64 and 1,924.66 is: 2,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.57 : 6,397.64 = 1,924.66 : x
  2. Step 2: Convert to fraction form
    4,264.57/6,397.64 = 1,924.66/x
  3. Step 3: Cross multiply
    4,264.57x = 6,397.64 × 1,924.66
  4. Step 4: Simplify right side
    4,264.57x = 12,313,281.80
  5. Step 5: Solve for x
    x = 12,313,281.80/4,264.57
  6. Step 6: Final answer
    x = 2,887.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.